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Phys. Rev. A 77, 012334 (2008) [6 pages]

Quantum Cayley networks of the hypercube

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Christopher Facer, Jason Twamley, and James Cresser
Centre for Quantum Computer Technology, Physics Department, Macquarie University, Sydney NSW 2109, Australia

Received 28 June 2007; revised 21 November 2007; published 29 January 2008

We develop the work of Christandl et al. Phys. Rev. A 71 032312 (2005)], to show how a d-hypercube homogenous network can be dressed by additional links to perfectly route quantum information between any given input and output nodes in a duration that is independent of the routing chosen and, surprisingly, the size of the network.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.012334
DOI:
10.1103/PhysRevA.77.012334
PACS:
03.67.Hk, 03.67.Lx, 05.50.+q, 89.75.Hc